Daily Practice

Higher Plus

17th March 1986

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Iteration3 marks
Use the iteration x(n+1) = cube root of (10x(n) + 7) with x(0) = 1. Work out x(1) to 3 decimal places.
2
Velocity Time Graphs3 marks
A tram runs at 14 m/s for 20 s, then slows steadily to rest over 10 s. Work out its average speed for the whole journey, to 2 decimal places.
3
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 2a + b and vector RS = 8a + 4b. What does this show about PQ and RS?
4
Probability Equation Questions3 marks
The probability of winning a game is 1/2. A player expects 8 wins. How many games did they play?
5
Histograms2 marks
On a histogram, a 10-wide bar and a 40-wide bar have the same frequency density of 1.5. How many more values are in the wider class?

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